# Mathematics 3Q: Mechanics

University of Glasgow

## Course Description

• ### Course Name

Mathematics 3Q: Mechanics

• ### Host University

University of Glasgow

• ### Location

Glasgow, Scotland

Mathematics

• ### Language Level

Taught In English

• ### Prerequisites

Maths 2A, 2B and 2D at grade D3 or above.
Combined GPA of 9.0 or above on the three courses Maths 2C, Maths 2E and Maths 2F.

• ### Course Level Recommendations

Upper

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

### Hours & Credits

• Scotcat Credits

10
• Recommended U.S. Semester Credits
2.5 - 3
• Recommended U.S. Quarter Units
1
• ### Overview

Short Description
The aim of this course is to study the motion of a single particle, including central forces, conservation of energy and motion relative to a rotating frame of reference.

Assessment
100% on degree examination.
Main Assessment In: April/May

Course Aims
The aim of this course is to extend the work on the basic two-dimensional motion of particles covered in Mathematics 2C. Topics covered are:
4. Conservative forces.
5. Motion under the action of a central force.
6. Motion relative to a rotating frame of referenece.
Intended Learning Outcomes of Course
By the end of this course students will be able to:

1. Apply Newton's second law to the case of a central force; proving motion is planar and that energy and angular momentum are conserved.
2. Solve for particle motion under the action of a central force using either conservation of energy or by solving for the particle path.
3. Determine whether a circular orbit is stable.
4. Establish whether a force is conservative, and when it is, determine the corresponding potential.
5. Use conservation of energy to solve for particle motion under the action of a conservative force.
6. Solve for particle motion measured with respect to a rotating frame of reference.

### Course Disclaimer

Courses and course hours of instruction are subject to change.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.

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